If you loved Neon Genesis Evangelion: The End of Evangelion, try Neon Genesis Evangelion: Death and Rebirth
A bridge between a film you've already seen and one most people haven't. Neon Genesis Evangelion: Death and Rebirth has roughly 3.7× fewer votes than Neon Genesis Evangelion: The End of Evangelion — it's a deeper cut, not a mainstream recommendation. Here's what they share, and what the second one does that the first one doesn't.

Neon Genesis Evangelion: The End of Evangelion

Neon Genesis Evangelion: Death and Rebirth
What they share
Both films are directed by Hideaki Anno, Kazuya Tsurumaki, and they both carry the dread, foreign gem, mindfuck mood tags, and they sit in Animation / Drama / Science Fiction territory. If that's the register that drew you to Neon Genesis Evangelion: The End of Evangelion, the second film will land in a comparable space — through a different lens.
What Neon Genesis Evangelion: Death and Rebirth is
Brooklyn meets Evangelion. A teenage pilot confronts an apocalyptic force but the real battle is the weight of his own mind. Neon noir and robot ballet collide in a fragile human story.